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1012270355744 = 252913114295827
BaseRepresentation
bin11101011101100000000…
…00111101010100100000
310120202211212021002012012
432232300000331110200
5113041112202340434
62053010334452052
7133064001024644
oct16566000752440
93522755232165
101012270355744
1136033525386a
12144227364028
13745c244c07b
1436dcbd1cc24
151b4e8adc3ce
hexebb003d520

1012270355744 has 96 divisors (see below), whose sum is σ = 2079176299200. Its totient is φ = 484529310720.

The previous prime is 1012270355737. The next prime is 1012270355771. The reversal of 1012270355744 is 4475530722101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173717759 + ... + 173723585.

It is an arithmetic number, because the mean of its divisors is an integer number (21658086450).

Almost surely, 21012270355744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012270355744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1039588149600).

1012270355744 is an abundant number, since it is smaller than the sum of its proper divisors (1066905943456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1012270355744 is a wasteful number, since it uses less digits than its factorization.

1012270355744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7426 (or 7418 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 41.

The spelling of 1012270355744 in words is "one trillion, twelve billion, two hundred seventy million, three hundred fifty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 116 131 232 262 464 524 928 1048 1429 2096 2858 3799 4192 5716 5827 7598 11432 11654 15196 22864 23308 30392 41441 45728 46616 60784 82882 93232 121568 165764 168983 186464 187199 331528 337966 374398 663056 675932 748796 763337 1326112 1351864 1497592 1526674 2703728 2995184 3053348 5407456 5428771 5990368 6106696 8326783 10857542 12213392 16653566 21715084 22136773 24426784 33307132 43430168 44273546 66614264 86860336 88547092 133228528 173720672 177094184 241476707 266457056 354188368 482953414 708376736 965906828 1090808573 1931813656 2181617146 3863627312 4363234292 7727254624 8726468584 17452937168 31633448617 34905874336 63266897234 126533794468 253067588936 506135177872 1012270355744